Quasiperiodic spectra and orthogonality for iterated function system measures

DOI10.1007/s00209-008-0329-2zbMath1163.65101arXiv0711.2990OpenAlexW2035818522MaRDI QIDQ1006374

Dorin Ervin Dutkay, Palle E. T. Jorgensen

Publication date: 24 March 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2990

zbMATH Keywords

Hilbert spaceorthogonal basesHadamard matrixFourier seriesnonlinear analysisfractalsaperiodic tilingsquasicrystalsmatrix algorithmsIterated function systemsRiesz productsspecial orthogonal functions

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Iterative numerical methods for linear systems (65F10) General harmonic expansions, frames (42C15) Fractals (28A80) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical methods for trigonometric approximation and interpolation (65T40) Lacunary series of trigonometric and other functions; Riesz products (42A55)

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